9x-2=x^2+4x+4

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Solution for 9x-2=x^2+4x+4 equation: 


Simplifying
9x + -2 = x2 + 4x + 4

Reorder the terms:
-2 + 9x = x2 + 4x + 4

Reorder the terms:
-2 + 9x = 4 + 4x + x2

Solving
-2 + 9x = 4 + 4x + x2

Solving for variable 'x'.

Reorder the terms:
-2 + -4 + 9x + -4x + -1x2 = 4 + 4x + x2 + -4 + -4x + -1x2

Combine like terms: -2 + -4 = -6
-6 + 9x + -4x + -1x2 = 4 + 4x + x2 + -4 + -4x + -1x2

Combine like terms: 9x + -4x = 5x
-6 + 5x + -1x2 = 4 + 4x + x2 + -4 + -4x + -1x2

Reorder the terms:
-6 + 5x + -1x2 = 4 + -4 + 4x + -4x + x2 + -1x2

Combine like terms: 4 + -4 = 0
-6 + 5x + -1x2 = 0 + 4x + -4x + x2 + -1x2
-6 + 5x + -1x2 = 4x + -4x + x2 + -1x2

Combine like terms: 4x + -4x = 0
-6 + 5x + -1x2 = 0 + x2 + -1x2
-6 + 5x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-6 + 5x + -1x2 = 0

Factor a trinomial.
(-3 + x)(2 + -1x) = 0


Subproblem 1
Set the factor '(-3 + x)' equal to zero and attempt to solve:

Simplifying
-3 + x = 0

Solving
-3 + x = 0

Move all terms containing x to the left, all other terms to the right.

Add '3' to each side of the equation.
-3 + 3 + x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + x = 0 + 3
x = 0 + 3

Combine like terms: 0 + 3 = 3
x = 3

Simplifying
x = 3

Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {3, 2}

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